The guided-missile destroyer USS Porter (DDG 78) launched missile strikes from the Eastern Mediterranean.
The report also notes that Russian news agency TASS claims that the frigate was headed on a routine trip toward a logistics base in Tartus, Syria, which is located 98 miles to the northwest of capital city Damascus.
The Russian frigate, Admiral Grigorovich RFS-494, passed through the Bosphorus Strait "a few hours ago" from the Black Sea, the news network said, attributing the information to an unnamed US defense official.
The senator said the US must also move forward in Raqqa and Mosul, Iraq, by retaking those areas from ISIS while also acting against Assad's war crimes.
Tass, citing a "military-diplomatic source", said the Admiral Grigorovich would visit a Syrian logistics base.
McConnell reaches out to Romney about possible Senate bid
Former Massachusetts governor and Republican presidential candidate Mitt Romney is reportedly considering a Senate run in Utah. Orrin Hatch - the Republican elected who now holds the seat for which Romney would be running.
Russian President Vladimir Putin viewed President Donald Trump's decision to launch airstrikes on the Syrian airbase as "a significant blow to Russian-American relations, which were already in a sorry state", according to Putin's official spokesperson Dmitry Peskov.
Trump on Thursday ordered the USA military to strike airfields near the chemical weapons storage facility at Shayrat Airbase in response to one of the deadliest attacks in the country's 6-year civil war.
The move came hours after the Kremlin issued a statement condemning, what it called, the United States' "act of aggression" against the Russian ally.
McCain said the US must help Syria after Assad is toppled, including rebuilding the country's economy.